This post contains the answers to this week's Sunday Afternoon Maths and some extension problems based around the originals.
If you start with \(n\) cups with one pea in each, how many moves is it possible to make?
On hearing the eighth whistle, the dog will be running at 512m/s, faster than the speed of sound. Hence, no more of the master's whistles will reach the dog. However, the dog will catch up with the seven whistles she has already heard and hear them again. So fifteen whistles will be heard in total.
How much time will the dog have been running for when she hears the final whistle?